1. **Problem:** Convert 65% to decimal and fraction.
2. **Formula:** Percent to decimal: divide by 100, so $65\% = \frac{65}{100} = 0.65$.
3. **Fraction:** Simplify $\frac{65}{100}$ by dividing numerator and denominator by 5:
$$\frac{\cancel{65}^{{13}}}{\cancel{100}^{{20}}} = \frac{13}{20}$$
4. **Answer:** Decimal is $0.65$, fraction is $\frac{13}{20}$.
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1. **Problem:** Find percentage of 21 out of 25 students present.
2. **Formula:** Percentage = $\frac{\text{part}}{\text{whole}} \times 100$.
3. Calculate:
$$\frac{21}{25} \times 100 = 84\%$$
4. **Answer:** $84\%$ of students were present.
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1. **Problem:** Convert decimal 0.025 to fraction.
2. **Formula:** Decimal to fraction: $0.025 = \frac{25}{1000}$.
3. Simplify by dividing numerator and denominator by 25:
$$\frac{\cancel{25}^1}{\cancel{1000}^{40}} = \frac{1}{40}$$
4. **Answer:** Equivalent fraction is $\frac{1}{40}$.
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1. **Problem:** Find percentage of homework remaining if $\frac{2}{5}$ is completed.
2. Remaining fraction: $1 - \frac{2}{5} = \frac{5}{5} - \frac{2}{5} = \frac{3}{5}$.
3. Convert $\frac{3}{5}$ to percentage:
$$\frac{3}{5} \times 100 = 60\%$$
4. **Answer:** $60\%$ of homework is remaining.
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1. **Problem:** Find percentage of a dollar that is one quarter and two dimes.
2. Values: one quarter = 25 cents, two dimes = 2 \times 10 = 20 cents.
3. Total cents: $25 + 20 = 45$ cents.
4. Percentage of a dollar (100 cents):
$$\frac{45}{100} \times 100 = 45\%$$
5. **Answer:** One quarter and two dimes equal $45\%$ of a dollar.
Percent Fractions 790397
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